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Finding the Fourth Proportional to 2,687.68, 4,031.71 and 713.29

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Solution

The fourth proportional to 2,687.68, 4,031.71 and 713.29 is: 1,069.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.68 : 4,031.71 = 713.29 : x
  2. Step 2: Convert to fraction form
    2,687.68/4,031.71 = 713.29/x
  3. Step 3: Cross multiply
    2,687.68x = 4,031.71 × 713.29
  4. Step 4: Simplify right side
    2,687.68x = 2,875,794.14
  5. Step 5: Solve for x
    x = 2,875,794.14/2,687.68
  6. Step 6: Final answer
    x = 1,069.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.